Boxwood Company sells blankets for $$31$ each. The following information was taken from the inventory records during May. The company had no beginning inventory on May $1.$ Boxwood uses a perpetual inventory system.

Date Blankets Units Cost

May $3$ Purchase $7$ $$19$

$10$ Sale $4$

$17$ Purchase $10$ $$18$

$20$ Sale $5$

$23$ Sale $3$

$30$ Purchase $12$ $$21$

Determine the May $31$ inventory balance using the FIFO inventory costing method.

a$.$ $$342$

b$.$ $$357$

c$.$ $$323$

d$.$ $$306$